Imagine that you were hired as a consultant by a local business owner to help her determine how many paid days off she should provide to her employees. In general, she wants to establish some sort of standard for her employees and for herself. Based on data provided by the government, you conclude that on average, workers in the United States take 14 paid days off per year. The data for the eight employees who work at the company you are consulting for are: 12, 9, 7, 12, 13, 14, 14, and 12 days. The question you are trying to answer is, are the number of days off taken by the eight employees statistically different from the data provided by the US government?
Imagine that you were hired as a consultant by a local business owner to
help her determine how many paid days off she should provide to her employees. In general, she wants to establish some sort of standard for her employees and for herself. Based on data provided by the government, you conclude that on average, workers in the United States take 14 paid days off per year. The data for the eight employees who work at the company you are consulting for are: 12, 9, 7, 12, 13, 14, 14, and 12 days. The
question you are trying to answer is, are the number of days off taken by the eight employees statistically different from the data provided by the US government?
(I have stated the null and alternative hypotheses, and found that this is a two-tailed test. With alpha=0.05, I have found the t-critical value to be +/- 2.365, with DF=7)
I need help with:
A. Compute the appropriate test statistic. Use the computational formula to
compute the sample standard deviation. Show all formulas that you use as well as your work and circle your calculated test statistic. Round to two decimal places at every step.
B. State your decision regarding the null hypothesis – Reject or Fail to Reject.
C. If appropriate, compute effect size. Otherwise state N/A
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